Sumwise

Percentage Change from 70 to 40

From 70 to 40 is a 42.8571% decrease

Change
-42.8571%
Difference
-30
New ÷ old
0.571429
Direction
decrease

Sumwise · Maintained by Theo Abbott (pen name) · automated checks · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How the checks work

How to work it out

  1. Difference: 40 − 70 = -30
  2. Divide by the starting value: -30 ÷ 70 = -0.428571
  3. Multiply by 100: -42.8571%
  4. Check: Work forwards from the start: 70 × (1 − 0.428571) = 70 × 0.571429 = 40.

In a spreadsheet: =(40-70)/70*100. Always divide by the starting value, not the new one. A rise from 40 to 50 is +25%, but the fall from 50 back to 40 is −20%.

What the result means

The new value is 57.1429% of the old one: for every 100 at the start there are now 57.1429, so 42.8571 out of every 100 have gone.

Sales: a price cut from $70 to $40 is a 42.8571% discount.

Why the change back is different

A 42.8571% fall followed by a 42.8571% rise does not bring you back to 70: it gives 57.1429. The second percentage is taken of 40, not of 70, so to undo this change you need 75% instead.

Related results

Results for nearby numbers
70 to 38

From 70 to 38 is a 45.7143% decrease

70 to 39

From 70 to 39 is a 44.2857% decrease

70 to 41

From 70 to 41 is a 41.4286% decrease

70 to 42

From 70 to 42 is a 40% decrease

70 to 50

From 70 to 50 is a 28.5714% decrease

The other way round: Percentage change from 40 to 70. Percentage change is not symmetric: from 70 to 40 is -42.8571%, but from 40 back to 70 is 75%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 40 and 70: 54.5455%. See Percentage difference between 40 and 70.

Practice

14 to 80
Show answer

From 14 to 80 is a 471.4286% increase

44 to 80
Show answer

From 44 to 80 is a 81.8182% increase

97 to 50
Show answer

From 97 to 50 is a 48.4536% decrease

3 to 88
Show answer

From 3 to 88 is a 2,833.3333% increase

1 to 92
Show answer

From 1 to 92 is a 9,100% increase

78 to 3
Show answer

From 78 to 3 is a 96.1538% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 70 to 40

Going from 70 to 40 is a 42.8571% decrease. Formula and steps.

Is going from 70 to 40 an increase or a decrease?

A decrease: the value fell by 30, which is 42.8571% of the starting value.

What is the percentage change from 40 back to 70?

75%. It is a different number because the starting value is now 40, not 70.